Re: E(X^2) exists =>E(E(X|Y) ^2) exists?

Re: E(X^2) exists =>E(E(X|Y) ^2) exists?

I meant a finite expectation (of the absolute value for $\displaystyle $X$$). If the expectation of $\displaystyle X^2$ is finite the result holds using Jensen's inequality. So we have to deal with the case $\displaystyle E[X^2]=+\infty$.